Geodesic Distance on Gaussian Manifolds to Reduce the Statistical Errors in the Investigation of Complex Systems

Table 20

Log-normal distributions with 50% noise level.

	20 points	50 points	100 points	1000 points
	Type I errors	Type I errors	Type I errors	Type I errors
Mean	0.022	0.037	0.025	0.038
	0.009	0.009	0.007	0.011
Trimmed Mean	0.135	0.153	0.159	0.168
	0.097	0.108	0.102	0.107
Winsorized Mean	0.156	0.196	0.199	0.193
	0.098	0.122	0.133	0.130